Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830d |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-82927989817344000 = -1 · 224 · 39 · 53 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255165,-51445819] |
[a1,a2,a3,a4,a6] |
Generators |
[72637153604106:-1245923491100933:99961946721] |
Generators of the group modulo torsion |
j |
-93346209637802883/4213178368000 |
j-invariant |
L |
4.1640056848839 |
L(r)(E,1)/r! |
Ω |
0.10593032867043 |
Real period |
R |
19.654454664439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25830y1 129150cc3 |
Quadratic twists by: -3 5 |